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Customers Arrive at Drive-Thru Window at the Local Fast Food

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Essay

Customers arrive at drive-thru window at the local fast food place at an average rate of 12 per hour, following a Poisson distribution. The server at the window can service an average of 3 cars every 12 minutes with service times described by an exponential distribution. If a second lane is added where the server can process 4 cars every 15 minutes, calculate the following:
A) average utilization for one server and two servers
B) average time a customer spends in line waiting to enter the drive-thru bay for one server and two servers
C) average number of customers waiting in line for one server and two servers
D) Which system is better?


Definitions:

Philosophical Reasons

The underlying rational concepts or thoughts that explain why something is done or believed in.

Warmth

In psychology, it refers to the counselor's ability to convey caring, respect, and nonjudgmental understanding to the client, fostering a safe therapeutic environment.

Clarifying

The process in counseling and communication in which ambiguity is reduced or eliminated to ensure understanding.

Process Oriented Goals

These are objectives in therapy or personal development that focus on the actions and experiences involved in the journey towards a goal, rather than the end result itself.

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